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FCA20N60S Arkusz danych(PDF) 11 Page - Fairchild Semiconductor

Numer części FCA20N60S
Szczegółowy opis  Power Factor Correction Converter Design
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Producent  FAIRCHILD [Fairchild Semiconductor]
Strona internetowa  http://www.fairchildsemi.com
Logo FAIRCHILD - Fairchild Semiconductor

FCA20N60S Arkusz danych(HTML) 11 Page - Fairchild Semiconductor

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AN-6982
APPLICATION NOTE
© 2010 Fairchild Semiconductor Corporation
www.fairchildsemi.com
Rev. 1.0.0 • 6/8/10
11
where:
11
2
1
,
22
1
2
MI
II
IZ
IC
IC
IC
IP
IC
IC
G
f
fand
CR
C
f
RC
ππ
π
==
⋅⋅
=
⋅⋅
(31)
where GMI is the gain of transconductance error amplifier.
The procedure to design the feedback loop is as follows:
(a) Determine the crossover frequency (fIC) around
1/10~1/6 of the switching frequency. Then calculate
the gain of the transfer function of Equation (29) at
crossover frequency as:
@
2
π
=
=
⋅⋅
)
)
IC
CS
CS
BOUT
IEA
RAMP
IC
BOOST
ff
vR
V
vV
f
L
(32)
(b) Calculate RIC that makes the closed-loop gain unity at
crossover frequency:
@
1
=
=
)
)
IC
IC
CS
MI
IEA
f
f
R
v
G
v
(33)
(c) Since the control-to-output transfer function of power
stage has -20dB/dec slope and -90o phase at the
crossover frequency is 0dB, as shown in Figure 19, it
is necessary to place the zero of the compensation
network (fIZ) around 1/3 of the crossover frequency so
that more than 45
° phase margin is obtained. Then the
capacitor CIC1 is determined as:
1
1
2/ 3
IC
IC
C
C
Rf
π
=
(34)
(d) Place compensator high-frequency pole (fCP) at least a
decade higher than fIC to ensure that it does not
interfere with the phase margin of the current loop at
its crossover frequency.
2
1
2
IC
IP
IC
C
fR
π
=
⋅⋅
(35)
Figure 19. Current Loop Compensation
(Design Example)
Setting the crossover frequency as
6kHz (around 1/10 of switching frequency):
1
@
36
2
0.1 387
0.44
2.55 2
6 10 916 10
IC
CS
CS
BOUT
IEA
RAMP
IC
BOOST
ff
vR
V
vV
f
L
π
π
=
=
⋅⋅
==
⋅⋅ ×
×
)
)
6
@
11
26
88 10
0.44
IC
IC
CS
MI
IEA
ff
R
k
v
G
v
=
=
==
Ω
×⋅
)
)
1
33
11
3.1
2/ 3
26 10 2
6 10 / 3
IC
IC
C
CnF
Rf
π
π
==
=
×⋅
⋅ ×
Setting the pole of the compensator at 60kHz,
2
33
11
0.10
2
2
6010 2610
IC
IP
IC
CnF
fR
π
π
==
=
⋅⋅
⋅×
×
The actual components are a little changed for the off-
the-shelf components as:
RIC=27kΩ, CIC1=3.3nF, and CIC2=100pF.
[STEP-9] PFC Voltage Loop Design
Since FAN6982 employs line feed-forward, the power-
stage transfer function becomes independent of the line
voltage. Then the low-frequency, small-signal, control-to-
output transfer function is obtained as:
ˆ
1
ˆ
5
BOUT
BOUT
MAX
EA
BOUT
vI
K
vsC
≅⋅
(36)
where
/
MAX
MAX
OUT
OUT
K
PP
=
and 5V is the control window
of error amplifier (5.6V-0.6V=5V).
Proportional and integration (PI) control with high-
frequency pole is typically used for compensation. The
compensation zero (fVZ) introduces phase boost, while the
high-frequency compensation pole (fVP) attenuates the
switching ripple, as shown in Figure 20.
Figure 20. Voltage Loop Compensation


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